Showing papers by "John B. Pendry published in 1995"
TL;DR: In this paper, a transfer matrix technique is used to calculate the photonic band structure and transmission and reflection coefficients of photons incident on a complex metallic or dielectric structure, and the method is sufficiently general that any system with a well-defined unit cell can be studied.
232 citations
TL;DR: Using the transfer matrix method for calculating the band structure, transmission and reflection coefficients of photonic systems, the authors in this article presented a method to calculate photonic dispersion surfaces.
Abstract: Using the transfer matrix method for calculating the band structure, transmission and reflection coefficients of photonic systems, we present a method for calculating photonic dispersion surfaces. We then show how dispersion surfaces are excellent tools in the search for photonic insulators by applying the method to a simple system. We also explore the potential of metals for incorporation in photonic structures.
51 citations
TL;DR: In this article, a tensor LEED formalism was used for the determination of anisotropic (and anharmonic) vibrations by the analysis of temperature dependent LEED intensities.
14 citations
TL;DR: In this paper, the surface enhanced Raman scattering (SERS) effect was studied on a rough or structured metallic surface and a formalism for computing these modifications was developed, closely analogous to electron scattering theory, which was briefly reviewed and presented some results for optical properties of colloids.
10 citations
TL;DR: In this article, generalized transfer matrices are used to sum the series corresponding to the conventional ladder diagrams of perturbation theory, which is applied to correlations in both the Fourier space and the frequency domains.
Abstract: Transport in random multiple-scattering systems in which the wave field is delocalized is often described using the diffusion equation. In contrast, we examine the propagation of amplitude-amplitude correlations in such a system from first principles: the summation of random multiple-scattering series. We use generalized transfer matrices to sum the series corresponding to the conventional ladder diagrams of perturbation theory. The method is applied to correlations in both the Fourier space and the frequency domains. Using a specific model, the scalar wave equation, we show how to diagonalize analytically these generalized transfer matrices. Diffusive behaviour arises in the appropriate limits of long length and long time, while over shorter length and time-scales the diffusion equation breaks down and there is a transition to a more wave-like behaviour. Our results have applications to image reconstruction and signalling. In particular there is a ‘quantum’ limit to the amount of detail that can be recon...
6 citations
TL;DR: In this article, generalized transfer matrices were used to calculate the average reflected intensity profiles, the diffusive intensity transmission and the coherent back-scattered peak of a stack of cylinders with random dielectric constants.
Abstract: Multiple scattering of electromagnetic waves in diffusive media presents serious challenges to theoretical description. Rayleigh scattering by single impurities is anisotropic and also mixes the two available transverse polarization states. In a disordered system that retains translational invariance in one direction the polarizations are decoupled for propagation in the plane normal to this direction. An example would be a stack of cylinders with random dielectric constants. One polarization has an isotropic scattering cross-section, and the other an anisotropic scattering cross-section, allowing the study of anisotropic scattering without polarization mixing. We describe the multiple scattering using generalized transfer matrices. This allows us to calculate the average reflected intensity profiles, the diffusive intensity transmission and the coherent back-scattered peak. All three quantities show polarization effects.
5 citations
04 May 1995-Nuclear Instruments & Methods in Physics Research Section B-beam Interactions With Materials and Atoms
TL;DR: In this article, a new way of treating energy loss from fast charged particles in matter in which the virtual electromagnetic waves emitted by an electron in vacuo are renormalised by reflection from and refraction by the medium giving an efficient route to computations of the loss spectrum from complex nanostructures, encompassing plasmon losses, Cherenkov radiation losses, and the Smith-Purcell effect in one formula.
Abstract: We introduce a new way of treating energy loss from fast charged particles in matter in which the virtual electromagnetic waves emitted by an electron in vacuo are renormalised by reflection from and refraction by the medium giving an efficient route to computations of the loss spectrum from complex nanostructures, encompassing plasmon losses, Cherenkov radiation losses, and the Smith-Purcell effect in one formula. Calculations are presented for a colloid of aluminium spheres, and the validity of effective medium theory investigated and found to be accurate.
5 citations
01 Jan 1995
TL;DR: In the same way that we observe electronic properties to change from insulators to semiconductors, to metals, so we must expect light to be radically affected by the physical structure of a medium.
Abstract: In the same way that we observe electronic properties to change from insulators to semiconductors, to metals, so we must expect light to be radically affected by the physical structure of a medium. Yablonovitch [1] has pointed out that, given the right structure, materials can mimic most of the electronic effects. For example we can have a ‘photonic insulator’ from which all light is excluded, even zero point fluctuations. The interior of such a material would be insulated from the influence of these frequencies of electromagnetic wave. This radical restructuring of the electromagnetic spectrum over large regions of space by a process that may be as simple as drilling holes will have important consequences for optoelectronics. In his original paper Yablonovitch considered loss-free dielectric structures, but metals also show dramatic effects when structured on a scale of nanometres and it is with metals that I shall be concerned in this paper.
TL;DR: In this paper, the authors used a numerical technique developed to study photons in complex dielectric structures to explain the energy loss peaks from experimental studies on metallic colloids, and they also showed how the method may be used to explore the properties of the plasmons and induced electric fields in the colloidal system.
Abstract: SUMMARY
The nature of the energy loss from a charged particle passing close to the rough surface of some metallic material has posed a problem for some time. In this paper we show how to use our numerical technique, developed to study photons in complex dielectric structures, to explain the loss peaks from experimental studies on metallic colloids. We also show how the method may be used to explore the properties of the plasmons and induced electric fields in the colloidal system.